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Finding the Third Proportional to 702,968 and 1,064,311

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Solution

The third proportional to 702,968 and 1,064,311 is: 1,611,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,968 : 1,064,311 = 1,064,311 : x
  2. Step 2: Convert to fraction form
    702,968/1,064,311 = 1,064,311/x
  3. Step 3: Cross multiply
    702,968x = 1,064,311 × 1,064,311
  4. Step 4: Simplify right side
    702,968x = 1,132,757,904,721
  5. Step 5: Solve for x
    x = 1,132,757,904,721/702,968
  6. Step 6: Final answer
    x = 1,611,393.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.